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Luden [163]
3 years ago
9

in how many ways can a supermarket chain select 3 out of 12 possible sites for construction of a new supermarket?

Mathematics
2 answers:
shusha [124]3 years ago
6 0

Answer:  The total number of ways is 1320.

Step-by-step explanation:  We are given to find the number of ways in which a supermarket chain selects 3 sites out of 12 possible sites for construction of a new supermarket.

Since the supermarket chain has 12 possible options and they are to select 3 out of them.

So, for first site, there are 12 options,

for second site, there are 11 options

and

for third site, there are 10 options.

Therefore, the total number of ways is given by

n=12\times11\times10=1320.

Thus, the total number of ways is 1320.

ki77a [65]3 years ago
3 0
12x11x10 is 1320
In 1320 ways! Omg!
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I believe it is the 9, with absolute values the number will always be positive so the absolute value of -9 is 9, which is the greatest out of all the options
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3 years ago
If m∠A = 56°, m∠B = 60°, and c = 8, what is the measure of side length b?
Alekssandra [29.7K]

Using the law of sines:

\frac{b}{sin(B)}=\frac{c}{sin(C)}

Solve for b:

\begin{gathered} b=\frac{c\cdot sin(B)}{sin(C)} \\ so: \\ b=\frac{8\cdot sin(60)}{sin(64)} \\ b\approx7.708 \end{gathered}

Answer:

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5 0
11 months ago
I need help with Math ASAP plz!!
True [87]

Answer:

x = (74-28)/2

Step-by-step explanation:

We find the perimeter of a triangle by adding the sides together

s1 +s2+s3 = P

The perimeter is 74

s1 +s2+s3 = 74

We know one of the sides is 28

28 +s2+s3 = 74

The other two sides are equal in length, call them x

28 +x+x = 74

Combine like terms

28+2x = 74

We want to solve for x

Subtract 28 from each side

28-28+2x = 74-28

2x = 74-28

Divide each side by 2

2x/2 = (74-28)/2

x = (74-28)/2

4 0
3 years ago
What is the value of n in the equation 2.3 × 10 9power = (1 × 10 3power)(2.3 × 10n)
Amanda [17]
Hello,

2.3 x 10^9 = ( 1 x 10^3) ( 2.3 x 10^n) 

Solution:

Take the logarithm of both sides of the equation to remove the variable from the exponent. 

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2 years ago
Write the equation in exponential form. Assume that all constants are positive and not equal to 1.
algol13

Answer:

1.     16 = 4^2

2.    2 = {16}^{\frac{1}{4}}

3.    log_2 y=z

Step-by-step explanation:

1.\ log_2 16=4

Write in exponential form

Using the law of logarithm which says if

log_b A=x

then

A = b^x

By comparison;

A = 16; b = 2 and x = 4

The expression log_2 16=4 becomes

16 = 4^2

2.\ log_{16} 2=\frac{1}{4}

Write in exponential form

Applying the same law as used in (1) above;

A = 2; b = 16 and x = \frac{1}{4}

The expression log_{16} 2=\frac{1}{4} becomes

2 = {16}^{\frac{1}{4}}

3.\ 2^z=y

Write in logarithm form

Using the law of logarithm which says if

b^x =A

then

log_b A=x

By comparison;

b = 2; x = z and A = y

The expression 2^z=y becomes

log_2 y=z

3 0
3 years ago
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